Advanced Topics in Probability (Conformal Methods in 2D Statistical Mechanics) (G63.2931.001)
Fall 2010
Thursday 9:00-10:50 a.m., Room 1314
Here is the
course description
.
A (non-exhaustive!)
list of references
.
Slides
Lecture 1: Introduction
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Lectures 2 & 3: Basic features of percolation
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Lectures 4 & 5: Conformal invariance of crossing probabilities - The Cardy-Smirnov formula
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Lecture 6: Tightness for sequences of interfaces
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Lectures 7 & 8: The Schramm Loewner Evolution (an introduction)
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Lectures 9 & 10: Convergence of interfaces to SLE
6
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Lectures 11 & 12: Critical exponents for percolation
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Lecture 13: Conformal invariance of the FK Ising model
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